Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
450 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 121 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #17986530 | C2 | semidirect |
| 2. C2×D4×Dic71 | C2 | semidirect |
| 3. #17986330 | C2 | semidirect |
| 4. #17986310 | C2 | semidirect |
| 5. #17986301 | C2 | semidirect |
| 6. #17986212 | C2 | semidirect |
| 7. #17986150 | C2 | semidirect |
| 8. #17986111 | C2 | semidirect |
| 9. #17986096 | C2 | semidirect |
| 10. #17986053 | C2 | semidirect |
| 15. #14556119 | C22 | semidirect |
| 16. #14556115 | C22 | semidirect |
| 19. #14556093 | C22 | semidirect |
| 25. D4×Dic71 | C22 | semidirect |
| 30. #14556061 | C22 | semidirect |
| 31. #14556060 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 33. #14556053 | C22 | semidirect |
| 35. #14556049 | C22 | semidirect |
| 37. #14556038 | C22 | semidirect |
| 141. C71 | #3114 | semidirect |